Finding the Third Proportional to 41,539 and 91,385.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,539 : 91,385.50 = 91,385.50 : x
2. Step 2: Convert to fraction form
   41,539/91,385.50 = 91,385.50/x
3. Step 3: Cross multiply
   41,539x = 91,385.50 × 91,385.50
4. Step 4: Simplify right side
   41,539x = 8,351,309,610.25
5. Step 5: Solve for x
   x = 8,351,309,610.25/41,539
6. Step 6: Final answer
   x = 201,047.44